The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breath is b metre?
Hint: In this type of question first, we know about the perimeter of a triangle. Perimeter of triangle =2(l+b) Where l is the length of the rectangle B is the breadth of the triangle Here, the breadth is given and length is 3 × Breadth – 4 Now, we can proceed to the solution.
Complete step by step solution: First, we know about the breadth of a rectangular hall.
As we know, the rectangle has 4 vertices and 4 edges and the internal angle is 90°. In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. The area of the rectangle is length × width and perimeter of the rectangle is 2 × (length + width) It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal. According to the question, Given that, The breadth of the hall = b m Now, we find the length of the rectangular hall according to given condition, then, length of the hall = 3 × (Breadth of hall) – 4 = 3 × b – 4 = 3b – 4 ∴ length of hall = (3b – 4) meters.
Note: For solving this type of question, first, we know about the perimeter of triangle and area of a triangle that is The area of a rectangle is length × width and perimeter of a rectangle is 2 × (length + width) It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal.
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